If all squares are rectangles and some rectangles are not blue, which of the fol

Practice Questions

Q1
If all squares are rectangles and some rectangles are not blue, which of the following is true?
  1. All squares are blue.
  2. Some squares are not blue.
  3. No rectangles are squares.
  4. All rectangles are squares.

Questions & Step-by-Step Solutions

If all squares are rectangles and some rectangles are not blue, which of the following is true?
  • Step 1: Understand that all squares are rectangles. This means every square fits into the category of rectangles.
  • Step 2: Recognize that some rectangles are not blue. This means there are rectangles that do not have the color blue.
  • Step 3: Since all squares are rectangles, it is possible that some of those squares could also be among the rectangles that are not blue.
  • Step 4: Conclude that it is possible that some squares are not blue because they are part of the group of rectangles, and some rectangles are not blue.
  • Logical Deduction – The ability to draw conclusions based on given premises and relationships between categories.
  • Categorical Relationships – Understanding the relationships between different geometric shapes and their properties.
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